Impact of delay on robust stable optimization of a CSTR with recycle stream
Impact of delay on robust stable optimization of a CSTR with recycle stream
复制标题
延迟对具有循环流的 CSTR 鲁棒稳定优化的影响
DOI：
10.3182/20131218-3-in-2045.00086
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
M. Mönnigmann
中科院分区：
文献类型：
--
作者：
Darya Kastsian;M. Mönnigmann
摘要本文证明了不确定非线性系统鲁棒优化的法向量法可以推广到时滞系统。以CSTR反应器中的一级放热不可逆反应为例，研究了一类具有不确定参数的非线性时滞微分方程。在这种情况下，在鲁棒优化中必须考虑的稳定边界由Hopf分叉点组成。我们发现（i）一个不稳定的稳态运行结果，如果忽略稳定边界和（ii）一个保守的最优稳态结果，如果忽略延迟。
Abstract We demonstrate that the normal vector method for robust optimization of nonlinear systems with uncertain parameters can be extended to systems with delays. A first-order exothermic irreversible reaction carried out in a CSTR with recycle stream serves as example for the broad class of nonlinear delay differential equations (DDE) with uncertain parameters. The stability boundaries that must be taken into account in the robust optimization consist of Hopf bifurcation points in this case. We show that (i) an unstable steady state of operation results if stability boundaries are neglected and (ii) a conservative optimal steady state results if the delay is ignored.